{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Kernel Density Estimation\n",
    "\n",
    "Kernel density estimation is the process of estimating an unknown probability density function using a *kernel function* $K(u)$. While a histogram counts the number of data points in somewhat arbitrary regions, a kernel density estimate is a function defined as the sum of a kernel function on every data point. The kernel function typically exhibits the following properties:\n",
    "\n",
    "1. Symmetry such that $K(u) = K(-u)$.\n",
    "2. Normalization such that $\\int_{-\\infty}^{\\infty} K(u) \\ du = 1$ .\n",
    "3. Monotonically decreasing such that $K'(u) < 0$ when $u > 0$.\n",
    "4. Expected value equal to zero such that $\\mathrm{E}[K] = 0$.\n",
    "\n",
    "For more information about kernel density estimation, see for instance [Wikipedia - Kernel density estimation](https://en.wikipedia.org/wiki/Kernel_density_estimation).\n",
    "\n",
    "A univariate kernel density estimator is implemented in `sm.nonparametric.KDEUnivariate`.\n",
    "In this example we will show the following:\n",
    "\n",
    "* Basic usage, how to fit the estimator.\n",
    "* The effect of varying the bandwidth of the kernel using the `bw` argument.\n",
    "* The various kernel functions available using the `kernel` argument."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "from scipy import stats\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.distributions.mixture_rvs import mixture_rvs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A univariate example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(12345) # Seed the random number generator for reproducible results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We create a bimodal distribution: a mixture of two normal distributions with locations at `-1` and `1`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Location, scale and weight for the two distributions\n",
    "dist1_loc, dist1_scale, weight1 = -1 , .5, .25\n",
    "dist2_loc, dist2_scale, weight2 = 1 , .5, .75\n",
    "\n",
    "# Sample from a mixture of distributions\n",
    "obs_dist = mixture_rvs(prob=[weight1, weight2], size=250,\n",
    "                        dist=[stats.norm, stats.norm],\n",
    "                        kwargs = (dict(loc=dist1_loc, scale=dist1_scale),\n",
    "                                  dict(loc=dist2_loc, scale=dist2_scale)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The simplest non-parametric technique for density estimation is the histogram."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 5))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "# Scatter plot of data samples and histogram\n",
    "ax.scatter(obs_dist, np.abs(np.random.randn(obs_dist.size)),\n",
    "            zorder=15, color='red', marker='x', alpha=0.5, label='Samples')\n",
    "lines = ax.hist(obs_dist, bins=20, edgecolor='k', label='Histogram')\n",
    "\n",
    "ax.legend(loc='best')\n",
    "ax.grid(True, zorder=-5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fitting with the default arguments"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The histogram above is discontinuous. To compute a continuous probability density function,\n",
    "we can use kernel density estimation.\n",
    "\n",
    "We initialize a univariate kernel density estimator using `KDEUnivariate`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\scipy\\stats\\stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    }
   ],
   "source": [
    "kde = sm.nonparametric.KDEUnivariate(obs_dist)\n",
    "kde.fit() # Estimate the densities"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We present a figure of the fit, as well as the true distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 5))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "# Plot the histrogram\n",
    "ax.hist(obs_dist, bins=20, density=True, label='Histogram from samples',\n",
    "        zorder=5, edgecolor='k', alpha=0.5)\n",
    "\n",
    "# Plot the KDE as fitted using the default arguments\n",
    "ax.plot(kde.support, kde.density, lw=3, label='KDE from samples', zorder=10)\n",
    "\n",
    "# Plot the true distribution\n",
    "true_values = (stats.norm.pdf(loc=dist1_loc, scale=dist1_scale, x=kde.support)*weight1\n",
    "              + stats.norm.pdf(loc=dist2_loc, scale=dist2_scale, x=kde.support)*weight2)\n",
    "ax.plot(kde.support, true_values, lw=3, label='True distribution', zorder=15)\n",
    "\n",
    "# Plot the samples\n",
    "ax.scatter(obs_dist, np.abs(np.random.randn(obs_dist.size))/40,\n",
    "           marker='x', color='red', zorder=20, label='Samples', alpha=0.5)\n",
    "\n",
    "ax.legend(loc='best')\n",
    "ax.grid(True, zorder=-5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the code above, default arguments were used. We can also vary the bandwidth of the kernel, as we will now see."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Varying the bandwidth using the `bw` argument"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The bandwidth of the kernel can be adjusted using the `bw` argument.\n",
    "In the following example, a bandwidth of `bw=0.2` seems to fit the data well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 5))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "# Plot the histrogram\n",
    "ax.hist(obs_dist, bins=25, label='Histogram from samples',\n",
    "        zorder=5, edgecolor='k', density=True, alpha=0.5)\n",
    "\n",
    "# Plot the KDE for various bandwidths\n",
    "for bandwidth in [0.1, 0.2, 0.4]:\n",
    "    kde.fit(bw=bandwidth) # Estimate the densities\n",
    "    ax.plot(kde.support, kde.density, '--', lw=2, color='k', zorder=10,\n",
    "            label='KDE from samples, bw = {}'.format(round(bandwidth, 2)))\n",
    "\n",
    "# Plot the true distribution\n",
    "ax.plot(kde.support, true_values, lw=3, label='True distribution', zorder=15)\n",
    "\n",
    "# Plot the samples\n",
    "ax.scatter(obs_dist, np.abs(np.random.randn(obs_dist.size))/50,\n",
    "           marker='x', color='red', zorder=20, label='Data samples', alpha=0.5)\n",
    "\n",
    "ax.legend(loc='best')\n",
    "ax.set_xlim([-3, 3])\n",
    "ax.grid(True, zorder=-5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparing kernel functions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the example above, a Gaussian kernel was used. Several other kernels are also available."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['gau', 'epa', 'uni', 'tri', 'biw', 'triw', 'cos', 'cos2']"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from statsmodels.nonparametric.kde import kernel_switch\n",
    "list(kernel_switch.keys())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The available kernel functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x360 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a figure\n",
    "fig = plt.figure(figsize=(12, 5))\n",
    "\n",
    "# Enumerate every option for the kernel\n",
    "for i, (ker_name, ker_class) in enumerate(kernel_switch.items()):\n",
    "\n",
    "    # Initialize the kernel object\n",
    "    kernel = ker_class()\n",
    "\n",
    "    # Sample from the domain\n",
    "    domain = kernel.domain or [-3, 3]\n",
    "    x_vals = np.linspace(*domain, num=2**10)\n",
    "    y_vals = kernel(x_vals)\n",
    "\n",
    "    # Create a subplot, set the title\n",
    "    ax = fig.add_subplot(2, 4, i + 1)\n",
    "    ax.set_title('Kernel function \"{}\"'.format(ker_name))\n",
    "    ax.plot(x_vals, y_vals, lw=3, label='{}'.format(ker_name))\n",
    "    ax.scatter([0], [0], marker='x', color='red')\n",
    "    plt.grid(True, zorder=-5)\n",
    "    ax.set_xlim(domain)\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The available kernel functions on three data points"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now examine how the kernel density estimate will fit to three equally spaced data points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x360 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create three equidistant points\n",
    "data = np.linspace(-1, 1, 3)\n",
    "kde = sm.nonparametric.KDEUnivariate(data)\n",
    "\n",
    "# Create a figure\n",
    "fig = plt.figure(figsize=(12, 5))\n",
    "\n",
    "# Enumerate every option for the kernel\n",
    "for i, kernel in enumerate(kernel_switch.keys()):\n",
    "\n",
    "    # Create a subplot, set the title\n",
    "    ax = fig.add_subplot(2, 4, i + 1)\n",
    "    ax.set_title('Kernel function \"{}\"'.format(kernel))\n",
    "\n",
    "    # Fit the model (estimate densities)\n",
    "    kde.fit(kernel=kernel, fft=False, gridsize=2**10)\n",
    "\n",
    "    # Create the plot\n",
    "    ax.plot(kde.support, kde.density, lw=3, label='KDE from samples', zorder=10)\n",
    "    ax.scatter(data, np.zeros_like(data), marker='x', color='red')\n",
    "    plt.grid(True, zorder=-5)\n",
    "    ax.set_xlim([-3, 3])\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A more difficult case\n",
    "\n",
    "The fit is not always perfect. See the example below for a harder case."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "obs_dist = mixture_rvs([.25, .75], size=250, dist=[stats.norm, stats.beta],\n",
    "            kwargs = (dict(loc=-1, scale=.5), dict(loc=1, scale=1, args=(1, .5))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "kde = sm.nonparametric.KDEUnivariate(obs_dist)\n",
    "kde.fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 5))\n",
    "ax = fig.add_subplot(111)\n",
    "ax.hist(obs_dist, bins=20, density=True, edgecolor='k', zorder=4, alpha=0.5)\n",
    "ax.plot(kde.support, kde.density, lw=3, zorder=7)\n",
    "# Plot the samples\n",
    "ax.scatter(obs_dist, np.abs(np.random.randn(obs_dist.size))/50,\n",
    "           marker='x', color='red', zorder=20, label='Data samples', alpha=0.5)\n",
    "ax.grid(True, zorder=-5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The KDE is a distribution\n",
    "\n",
    "Since the KDE is a distribution, we can access attributes and methods such as:\n",
    "\n",
    "- `entropy`\n",
    "- `evaluate`\n",
    "- `cdf`\n",
    "- `icdf`\n",
    "- `sf`\n",
    "- `cumhazard`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "obs_dist = mixture_rvs([.25, .75], size=1000, dist=[stats.norm, stats.norm],\n",
    "                kwargs = (dict(loc=-1, scale=.5), dict(loc=1, scale=.5)))\n",
    "kde = sm.nonparametric.KDEUnivariate(obs_dist)\n",
    "kde.fit(gridsize=2**10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.314324140492138"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kde.entropy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.18085886])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kde.evaluate(-1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Cumulative distribution, it's inverse, and the survival function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 5))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "ax.plot(kde.support, kde.cdf, lw=3, label='CDF')\n",
    "ax.plot(np.linspace(0, 1, num = kde.icdf.size), kde.icdf, lw=3, label='Inverse CDF')\n",
    "ax.plot(kde.support, kde.sf, lw=3, label='Survival function')\n",
    "ax.legend(loc = 'best')\n",
    "ax.grid(True, zorder=-5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The Cumulative Hazard Function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 5))\n",
    "ax = fig.add_subplot(111)\n",
    "ax.plot(kde.support, kde.cumhazard, lw=3, label='Cumulative Hazard Function')\n",
    "ax.legend(loc = 'best')\n",
    "ax.grid(True, zorder=-5)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
